243136464 has 120 divisors (see below), whose sum is σ = 686905440. Its totient is φ = 73898496.

The previous prime is 243136451. The next prime is 243136489. The reversal of 243136464 is 464631342.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766834 + ... + 767150.

It is an arithmetic number, because the mean of its divisors is an integer number (5724212).

Almost surely, 2^243136464 is an apocalyptic number.

243136464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243136464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343452720).

243136464 is an abundant number, since it is smaller than the sum of its proper divisors (443768976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243136464 is a wasteful number, since it uses less digits than its factorization.

With its successor (243136465) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (370).

243136464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 370 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 243136464 is about 15592.8337386121. The cubic root of 243136464 is about 624.1419384544.

The spelling of 243136464 in words is "two hundred forty-three million, one hundred thirty-six thousand, four hundred sixty-four".